12,080
edits
Changes
MyWikiBiz, Author Your Legacy — Sunday December 01, 2024
Jump to navigationJump to searchDirectory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 17:50, 23 April 2009
, 17:50, 23 April 2009→Commentary Note 12
|}
|}
If <math>X\!</math> and <math>Y\!</math> have cardinalities <math>|X|\!</math> and <math>|Y|,\!</math> respectively, then the function space <math>X^Y\!</math> has a cardinality given by the following equation:
If <math>X\!</math> and <math>Y\!</math> have cardinalities <math>|X|\!</math> and <math>|Y|,\!</math> respectively, then the function space <math>Y^X\!</math> has a cardinality given by the following equation:
{| align="center" cellspacing="6" width="90%"
{| align="center" cellspacing="6" width="90%"
| <math>\begin{matrix}|X^Y| & = & |X|^{|Y|}\end{matrix}</math>
| <math>\begin{matrix}|Y^X| & = & |Y|^{|X|}\end{matrix}</math>
|}
|}
